+1 vote
in Machine Dynamics by (34.3k points)
For a three rotor system in the figure given below, the length of one shaft(P) is twice the other(Q), then what is the relation between the Mass moment of inertia of the shafts.

(a) 2I(P) = I(Q)

(b) I(P) = 2I(Q)

(c) I(P) = I(Q)

(d) 2I(P) = 3I(Q)

The question was posed to me by my college professor while I was bunking the class.

This intriguing question comes from Free Torsional Vibrations of a Three Rotor System in chapter Torsional Vibrations of Machine Dynamics

1 Answer

0 votes
by (38.6k points)
Right option is (a) 2I(P) = I(Q)

The best explanation: For a two rotor system, we have L(P)I(P) = L(Q)I(Q)

Now L(P)=2L(Q)

Therefore, 2I(P) = I(Q).

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